Could you go into further detail about why this works? I have asked this as a seperate question here.
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JW01Nov 19 '12 at 3:02

@JW01: By number here we mean real number, not integer. If we multiply a number between $0$ and $1$ by $c\ne 0$, we certainly get a number between $0$ and $c$. Suppose moreover the random numbers between $0$ and $1$ are uniformly distributed $[0,1]$. Let $U$ be a random variable with uniform distribution on $[0,1]$. Let $X=cU$, where for simplicity $c$ is positive. Then for $0\le x\le c$, $\Pr(X\le x)=\Pr(cU\le x)=\Pr(U\le x/c=x/c$. This means $X$ has uniform distribution on $[0,c]$. If you wish, differentiate the cdf $x/c$ to get constant density function $1/c$.
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André NicolasNov 19 '12 at 3:14

Thanks. Its explained very succinctly. I think I get the gist. p.s I assume that there should be a closing parenthesis just before the final sentence ".This means..." ?
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JW01Nov 19 '12 at 3:37

There should be a closing parenthesis just before the $=$ sign, a few characters before "This means."
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André NicolasNov 19 '12 at 3:50